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Finding the Fourth Proportional to 274,482.73, 411,438.64 and 106,118.69

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Solution

The fourth proportional to 274,482.73, 411,438.64 and 106,118.69 is: 159,067.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,482.73 : 411,438.64 = 106,118.69 : x
  2. Step 2: Convert to fraction form
    274,482.73/411,438.64 = 106,118.69/x
  3. Step 3: Cross multiply
    274,482.73x = 411,438.64 × 106,118.69
  4. Step 4: Simplify right side
    274,482.73x = 43,661,329,492.18
  5. Step 5: Solve for x
    x = 43,661,329,492.18/274,482.73
  6. Step 6: Final answer
    x = 159,067.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.